Theorems · Theorem · number theory
DirichletCharacter.conductor_one
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} [NeZero n], DirichletCharacter.conductor 1 = 1The conductor of the trivial character is 1.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZeroNeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement · cited by 161
- DirichletCharacter.conductorstatement and proof · cited by 29
- Nat.sInf_leproof · cited by 20
- DirichletCharacter.FactorsThroughproof · cited by 13
- DirichletCharacter.mem_conductorSet_iffproof · cited by 5
- DirichletCharacter.conductor_ne_zeroproof · cited by 3
- DirichletCharacter.factorsThrough_one_iffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- DirichletCharacter.eq_one_iff_conductor_eq_oneproof · cited by 1
- DirichletCharacter.primitiveCharacter_oneproof · cited by 0
- DirichletCharacter.IsPrimitive.completedLFunction_one_subproof · cited by 0